Answer:
Length of pendulum, l = 1.74 meters
Explanation:
The time period of simple pendulum is, [tex]T=2\pi\sqrt{\dfrac{l}{g}}[/tex]
Where
l is the length of simple pendulum
The time period of uniform thin rod is hung vertically from one end is, [tex]T=2\pi\sqrt{\dfrac{2l'}{3g}}[/tex]
l' is the length of uniform rod, l' = 2.6 m
It is given that the rod and pendulum have same time period. So,
[tex]2\pi\sqrt{\dfrac{l}{g}}=2\pi\sqrt{\dfrac{2l'}{3g}}[/tex]
After solving above expression, the value of length of the pendulum is, l = 1.74 meters. Hence, this is the required solution.
